Can someone solve this for me

a spherical storage tank has a diameter of 24 ft and is full of water. how many delivery trucks with a cylindrical tanks measuri

lbvjy [14]

Diameter of the spherical storage tank = 24 ft

So, radius of the tank = $\frac{24}{2}=12$ ft

Volume of the spherical tank = 4/3 * PI * r³

= $\frac{4}{3}\times3.14\times12\times12\times12$

= 7234.56 cubic feet

Diameter of cylindrical tank = 4 ft

So, radius = $\frac{4}{2}=2$ ft

Height of cylindrical tank = 10 ft

Volume of cylindrical tank = PI * r² * h

= $3.14\times2\times2\times10=125.60$ cubic feet

So, the number of cylindrical tanks that can be filled from the spherical tank are =

$\frac{7234.56}{125.60}=57.6$

Hence, 57 cylindrical tanks can be completely filled from the big spherical tank.

4 0

3 years ago

Which of the following constants can be added to x^2 + 2/3x to form a perfect square trinomial?

Angelina_Jolie [31]

Hello.

A trinomial is a perfect square if the square root of the first term times the square root of the third term times 2 equals the middle term.

$\boxed{\mathsf{x^{2} + \dfrac{2}{3} x}}$

a) Adding 1/9:

$\cdot \: \mathsf{x^{2} + \dfrac{2}{3} x + \dfrac{1}{9}} \\ \\ \\ \mathsf{\sqrt{x^{2}} \times \sqrt{\dfrac{1}{9}} \times 2 =} \\ \\ \\ \mathsf{x \times \dfrac{1}{3} \times 2 =} \\ \\ \\ \mathsf{\dfrac{2}{3} x \rightarrow it \: is \: a \: perfect \: square \: trinomial}$

b) Adding 4/9:

$\cdot \: \mathsf{x^{2} + \dfrac{2}{3} x + \dfrac{4}{9}} \\ \\ \\ \mathsf{\sqrt{x^{2}} \times \sqrt{\dfrac{4}{9}} \times 2 =} \\ \\ \\ \mathsf{x \times \dfrac{2}{3} \times 2 =} \\ \\ \\ \mathsf{\dfrac{4}{3} x \rightarrow it \: is \: not \: a \: perfect \: square \: trinomial}$

c) Adding 4 and 1/9:

$\cdot \: \mathsf{x^{2} + \dfrac{2}{3} x + \dfrac{1}{9} + 4 = x^{2} + \dfrac{2}{3} x + \dfrac{37}{9}} \\ \\ \\ \mathsf{\sqrt{x^{2}} \times \sqrt{\dfrac{37}{9}} \times 2 =} \\ \\ \\ \mathsf{x \times \dfrac{\sqrt{37}}{3} \times 2 =} \\ \\ \\ \mathsf{\dfrac{2\sqrt{37}}{3} x \rightarrow it \: is \: not \: a \: perfect \: square \: trinomial}$

Hope I helped.

3 0

3 years ago

Joyce's mother buys some shares of Company A on Day 0.

antoniya [11.8K]

Answer:

(i) 4000

(ii) $5.00

Step-by-step explanation:

Let no. of shares of Company A be X

Let share price of Company B on Day 7 be $y

Share price of Company B on Day 12 = $(y-0.50)

(i)

Consider Day 7:

4.60x - 2000y = 7400................ (1)

Consider Day 12:

4.80x - 5000(y-0.50) = -5800

4.80x - 5000y + 2500 = -5800

4.80x - 5000y = -8300............... (2)

(1)*2.5:

11.5x - 5000y = 18500................. (3)

(3)-(2):

11.5x - 4.80x - 5000y + 5000y = 18500 + 8300

6.70x = 26800

x = 4000

(ii)

Sub. x = 4000 into (1):

4.60(4000) - 2000y = 7400

-2000y = 7400 - 18400

-2000y = -11000

y = 5.5

Share price of Company B on Day 12

= 5.50 - 0.50

= $5.00

3 0

3 years ago

Help please 50P wrong answer gets removed!!!!

RSB [31]

Answer:

it 1172.08!:)

Step-by-step explanation:

8 0

3 years ago

Show your work as you go along.

lana66690 [7]

2x+3(2x-4y)+8y-2
2x+6x-12y+8y-2
8x-12y+8y-2
8x-4y-2

8 0

3 years ago